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The result is a discretization that is LED and has first order convergence behavior.
Consequently, in practice only first order convergence rates have been observed.
To reach first order convergence, the amount of nodes initially assigned analytic values should be kept constant [16].
Although all the above functions satisfy the consistency condition (12), not all of them preserve the first order convergence of (6).
Our results indicate a first order convergence of the error as a control parameter is decreased, and we outline a framework for analysis.
A numerical convergence study is used to show that for a first order convergence of our discrete gradients grid modification is sufficient, whereas to achieve second order convergence grid optimization is mandatory.
Similar(50)
Extensive numerical experiments confirm the designed second order convergence of the proposed method.
We see that Jain's scheme yields fourth order convergence rates for this problem also.
This demonstrates that our method has second order convergence in time.
Priori estimate and second order convergence of the finite difference approximate solutions are discussed by discrete energy method.
Extensive numerical studies confirm the designed second order convergence of the MIB Galerkin method in the L∞ and L2 errors.
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